Geodesic
New results for EP matrices in indefinite inner product spaces
Czechoslovak Mathematical Journal, Tome 64 (2014) no. 1, pp. 91-103
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In this paper we study $J$-EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and $J$-EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by relaxing some conditions.
In this paper we study $J$-EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and $J$-EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by relaxing some conditions.
DOI : 10.1007/s10587-014-0086-9
Classification : 06A06, 15A09, 47B50
Keywords: EP matrix; indefinite matrix product; reverse order law; partial order; indefinite inner product space 
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Radojević, Ivana M. New results for EP matrices in indefinite inner product spaces. Czechoslovak Mathematical Journal, Tome 64 (2014) no. 1, pp. 91-103. doi: 10.1007/s10587-014-0086-9

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